Title
Further results on convergence of cooperative standard cellular neural networks
Abstract
The paper considers a class of nonsymmetric co operative standard cellular neural networks (SCNNs), which are defined by a cell-linking template, and are characterized by neuron activations modeled by a typical three-segment pwl function. The paper establishes conditions ensuring that the monotone solution semiflow associated to the considered class of SCNNs satisfies the Limit Set Dichotomy and is convergent toward equilibrium points. The conditions, which involve only static aspects of the equilibrium point configuration of the SCNNs, are easier to verify with respect to those in previous results in the literature. By means of a standard numerical program for locating the equilibrium points of pwl SCNNs, parameter ranges for which the conditions are verified, and the cooperative SCNNs are convergent, are established.
Year
DOI
Venue
2011
10.1109/ISCAS.2011.5938027
Circuits and Systems
Keywords
Field
DocType
cellular neural nets,cell linking template,convergence,limit set dichotomy,monotone solution semiflow,nonsymmetric cooperative standard cellular neural networks,three segment pwl function
Convergence (routing),Mathematical optimization,Computer science,Equilibrium point,Artificial neural network,Cellular neural network,Limit set,Monotone polygon
Conference
ISSN
ISBN
Citations 
0271-4302 E-ISBN : 978-1-4244-9472-9
978-1-4244-9472-9
2
PageRank 
References 
Authors
0.46
3
4
Name
Order
Citations
PageRank
Di Marco, M.1597.20
Mauro Forti239836.80
Massimo Grazzini313111.01
Luca Pancioni420717.58